International Journal of Applied Mathematics and Mechanics. Volume 2, Number 1 (2013), pp. 1-10 © Research India Publications http://www.ripublication.com Numerical Solution for Newtonian Maganatohydrodynamic Boundary Layer Flow Over a Rotating Disk Muhammad Anwar Kamal a and Sajjad Hussain b a department of Mathematics, Al-Kharj University, Al-Kharj, Saudi Arabia. b department of Mathematics, Govt. Postgraduate College, Bhakkar, Pakistan Abstract The boundary layer flow of rotating, electrically conducting Newtonian fluid on a rotating disk in the presence of magnetic field is considered by using similarity transformations. We are interested to find the numerical solution of the above problem by using different numerical techniques. The governing similarity equations have been solved by SOR method, Richardson's extrapolation and Simpson's (1/3) rule for rang 0.0 to 4.0 of the magnetic interaction parameter M . The calculations have been carried out using three different grid sizes to check the accuracy of the results. 1. Introduction Magnetic effect in fluid dynamics has received considerable attention due to the important roles they play in many industrial applications. The research of magnetohyderodynamic(MHD) incompressible, viscous flow has many important engineering applications in devices such as the design of heat exchangers, the cooling reactors, power generators and MHD accelerators. Pavlov[1]found an exact similarity solution of the MHD boundary layer equations for the steady two dimensional flow of an electrically conducting incompressible fluid due to rotating of a plane elastic surface in the presence of a uniform transverse magnetic field. Atia [2] studied the problem of steady flow and heat transfer of a conducting fluid due to the rotation of an infinite, non conducting porous disk in the presence of an external magnetic field. Bhupendra et al [3] considered the problem of forced flow of an electrically conducting viscous